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Search: id:A157862
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| A157862 |
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a(n)=1728000*n+240 (n>0) |
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+0
3
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| 1728240, 3456240, 5184240, 6912240, 8640240, 10368240, 12096240, 13824240, 15552240, 17280240, 19008240, 20736240, 22464240, 24192240, 25920240, 27648240, 29376240, 31104240, 32832240, 34560240, 36288240, 38016240
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OFFSET
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1,1
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COMMENT
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If A=[A157861] 3600*n.^2+n (3601, 14402, 32403,.,); Y=[A157862] 1728000*n +240 (1728240, 3456240..,); X=[A157863] 103680000*n^2+28800*n +1 (103708801, 414777601,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 103708801^2-3601 *1728240^2=1; 414777601^2-14402*3456240^2=1.
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LINKS
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Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
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FORMULA
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a(n)=1728000*n+240 (n>0)
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EXAMPLE
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For n=1, a(1)=1728240; n=2, a(2)=3456240; n=3, a(3)=5184240
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CROSSREFS
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Cf. A157861, A157863
Sequence in context: A151639 A083646 A157858 this_sequence A131639 A124068 A090054
Adjacent sequences: A157859 A157860 A157861 this_sequence A157863 A157864 A157865
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KEYWORD
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nonn
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AUTHOR
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Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 08 2009
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